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Finding the Fourth Proportional to 71,192.84, 106,787.82 and 21,273.08

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Solution

The fourth proportional to 71,192.84, 106,787.82 and 21,273.08 is: 31,909.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,192.84 : 106,787.82 = 21,273.08 : x
  2. Step 2: Convert to fraction form
    71,192.84/106,787.82 = 21,273.08/x
  3. Step 3: Cross multiply
    71,192.84x = 106,787.82 × 21,273.08
  4. Step 4: Simplify right side
    71,192.84x = 2,271,705,837.89
  5. Step 5: Solve for x
    x = 2,271,705,837.89/71,192.84
  6. Step 6: Final answer
    x = 31,909.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.